Basic Math Examples

$\frac{18}{25} \cdot \frac{15}{81}$

Step 1

Cancel the common factor of $9$ .

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Step 1.1

Factor $9$ out of $18$ .

$\frac{9 (2)}{25} \cdot \frac{15}{81}$

Step 1.2

Factor $9$ out of $81$ .

$\frac{9 \cdot 2}{25} \cdot \frac{15}{9 \cdot 9}$

Step 1.3

Cancel the common factor.

$\frac{9 \cdot 2}{25} \cdot \frac{15}{9 \cdot 9}$

Step 1.4

Rewrite the expression.

$\frac{2}{25} \cdot \frac{15}{9}$

$\frac{2}{25} \cdot \frac{15}{9}$

Step 2

Cancel the common factor of $5$ .

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Step 2.1

Factor $5$ out of $25$ .

$\frac{2}{5 (5)} \cdot \frac{15}{9}$

Step 2.2

Factor $5$ out of $15$ .

$\frac{2}{5 \cdot 5} \cdot \frac{5 \cdot 3}{9}$

Step 2.3

Cancel the common factor.

$\frac{2}{5 \cdot 5} \cdot \frac{5 \cdot 3}{9}$

Step 2.4

Rewrite the expression.

$\frac{2}{5} \cdot \frac{3}{9}$

$\frac{2}{5} \cdot \frac{3}{9}$

Step 3

Multiply $\frac{2}{5}$ by $\frac{3}{9}$ .

$\frac{2 \cdot 3}{5 \cdot 9}$

Step 4

Multiply.

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Step 4.1

Multiply $2$ by $3$ .

$\frac{6}{5 \cdot 9}$

Step 4.2

Multiply $5$ by $9$ .

$\frac{6}{45}$

$\frac{6}{45}$

Step 5

Cancel the common factor of $6$ and $45$ .

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Step 5.1

Factor $3$ out of $6$ .

$\frac{3 (2)}{45}$

Step 5.2

Cancel the common factors.

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Step 5.2.1

Factor $3$ out of $45$ .

$\frac{3 \cdot 2}{3 \cdot 15}$

Step 5.2.2

Cancel the common factor.

$\frac{3 \cdot 2}{3 \cdot 15}$

Step 5.2.3

Rewrite the expression.

$\frac{2}{15}$

$\frac{2}{15}$

$\frac{2}{15}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{2}{15}$

Decimal Form:

$0.1\overline{3}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$